2013/01/31 by Eduardo Cepeda · 1 citation
Mathematics · #math.PR #math.AP
published as Differential and integral equations, Khayyam Publishing, 2014, 27 (1/2), pp.105-136
arxiv created 2015/02/08 · arxiv updated 2015/02/10
We consider a coagulation multiple-fragmentation equation, which describes the concentration c_t(x) of particles of mass x ∈ (0,∞) at the instant t ≥ 0 in a model where fragmentation and coalescence phenomena occur. We study the existence and uniqueness of measured-valued solutions to this equation for homogeneous-like kernels of homogeneity parameter λ∈ (0,1] and bounded fragmentation kernels, although a possibly infinite total fragmentation rate, in particular an infinite number of fragments, is considered. This work relies on the use of a Wasserstein-type distance, which has shown to be particularly well-adapted to coalescence phenomena. It was introduced in previous works on coagulation and coalescence.